Existence of Positive Solutions for Kirchhoff Type Equation with Singular Term
Journal Title: 河南科技大学学报(自然科学版) - Year 2017, Vol 38, Issue 3
Abstract
The Kirchhoff type equation with singularity was considered to obtain the existence of positive solutions to the equation. Firstly,the embedding theorem and the weakly lower semi-continuity of the norm were used to prove that the energy functional can attain the global minimizer. Secondly,the global minimizer was positive by using the monotone concergence theorem. Finally,minimax method was employed to obtain the existence of positive solutions to this system.
Authors and Affiliations
Zhaoxia SONG, Qi ZHANG
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